Dante lost 35 pennies.
Mia lost 315 pennies; from the piggy bank.
What is defined as the fraction?
- Proper fractions are those whose numerator is smaller than the denominator. Proper fractions include 5/7, 3/8, 2/5, and the like.
- Unit fractions are fractions with a numerator of one. For instance, 1/4, 1/7, and so on.
For the given question.
Let Dante have total amount of x.
Then, Mia has the amount if 350 - x.
Dante lost 1/2 of his pennies = x - (1/2)x = (1/2)x.
Mia lost 1/3 of her pennies and left pennies is = (1/3)(350 - x)
Now, both had the same number of pennies.
(1/2)x = (1/3)(350 - x)
cross multiplying.
3x = 2(350 - x)
3x = 350 - 2x
5x = 350
x = 70 (Dante have 70 number of pennies)
Dante lost = (1/2)x = 70/2 = 35 pennies.
Mia lost = (1/3)(350 - x) = 315 pennies.
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